Lect11 - ' ( % ) ' a a * + I b b R R C C q -Vbattery + +IR...

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Unformatted text preview: ' ( % ) ' a a * + I b b R R C C q -Vbattery + +IR = 0 C ! " ! "# Vbattery 0 I0R 0 & Vbattery I0 = R $ % Vbattery 11 !"# q C q dq Vbattery R 0 C dt q(t ) q (1 e t /RC ) 0 R 0 I (t ) I0e t / RC q CVbattery A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. -' / -' . 0# 1# # % 2# ! !" !" ! ! ! !" !" !) !) %% %% ( 3 !" !3 4 & !" 0 . !" ( % !" ! 13 , R V C 2R ) !" ' # S1 S2 R R !" !34 !" 15 ! 6 5 0 !" 2 ' " # % ) a a ! ( ' *.+ C C q IR 0 C ! "# + b b R R Vbattery IR 0 & I0 $ Vbattery R % !"# q C q 19 q dq R C dt q(t ) q0e I (t ) I0e V 0 t / RC t / RC 8 0 R 0 0 7 A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. -' + - After being closed a long time, switch 1 is opened and switch 2 is closed. What is the current through the right resistor immediately after switch 2 is closed? A B. IR = V/3R C. IR = V/2R D. IR = V/R A. B IR = 0 C D 22 9 A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. -' + - After being closed a long time, switch 1 is opened and switch 2 is closed. What is the current through the right resistor immediately after switch 2 is closed? A B. IR = V/3R C. IR = V/2R D. IR = V/R A. B IR = 0 C D I V C 2R V 22 : R V C 2R <' !. S1 S2 V V C ! 4 2R 23 ; A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. -' Now suppose both switches are closed. What is the voltage across the capacitor after a A very long time? B V =0 A. C B. VC = V C. VC = 2V/3 C 26 = A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. -' Now suppose both switches are closed. What is the voltage across the capacitor after a A very long time? B V =0 A. C B. VC = V C. VC = 2V/3 C 0 % $ . ( ) . ' > $ ' 26 ! ! ! 4, " . ( % ? @ C ( ' % A$ ( ( . ( BC 6 % A ! 4, # 27 ! #! 4,# ! ! 4,# 2 BC < D 0 $ Bulb 2 Bulb 1 E 0# 1# # 2# @ ' @ 30 ( 1 1 1 1 . . . . . . . . '' % % % % . . #! ( . . . . #! F A A A A . . . . . 1 . . ' . . #!" 2 BC < D 0 $ Bulb 2 Bulb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c R2 R1R3 C R1 R3 = K ( L' 1 ( 0.9 0.8 0.7 0.6 -F Q t Q0e t RC Q t Q0 *6 % 0.5 + 0.4 0.3 0.2 0.1 0 0 1 2 3 4 5 6 7 8 9 10 *K ( % % 45 % ) ' ( + t RC " Q t Q0 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 Q t Q0e t RC RC = 2 $ % = $ . & 0 0 RC = 1 1 2 3 4 5 6 7 8 9 10 t % ? 47 The two circuits shown below contain identical capacitors that hold the same charge at t = 0. Circuit 2 has twice as much resistance as circuit 1. -' E 0# 1# # % % F 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 = RequivC 49 0.2 0.1 0 0 RC = 2 RC = 1 1 2 3 4 5 6 7 8 9 10 The two circuits shown below contain identical capacitors that hold the same charge at t = 0. Circuit 2 has twice as much resistance as circuit 1. -' . Which of the following statements best describes the charge remaining on each of the the two capacitors for any time after t = 0? B. Q1 > Q2 C. Q1 = Q2 A. Q1 < Q2 D. Q1 < Q2 at first, then Q1 > Q2 after long time E. Q1 > Q2 at first, then Q1 < Q2 after long time 50 , The two circuits shown below contain identical capacitors that hold the same charge at t = 0. Circuit 2 has twice as much resistance as circuit 1. -' . Which of the following statements best describes the charge remaining on each of the the two capacitors for any time after t = 0? B. Q1 > Q2 C. Q1 = Q2 A. Q1 < Q2 D. Q1 < Q2 at first, then Q1 > Q2 after long time E. Q1 > Q2 at first, then Q1 < Q2 after long time 50 5 The two circuits shown below contain identical capacitors that hold the same charge at t = 0. Circuit 2 has twice as much resistance as circuit 1. -' -' .. Which of the following statements best describes the charge remaining on each of the the two capacitors for any time after t = 0? B. Q1 > Q2 C. Q1 = Q2 A. Q1 < Q2 1 D. Q1 < Q2 at first, then Q1 > Q2 after long time E. Q1 > Q2 at first, then Q1 < Q2 after long time 0.9 0.8 0.7 3 !3 " 8 4 0.6 0.5 0.4 0.3 0.2 RC = 2 RC = 1 0 1 2 3 4 5 6 7 8 9 - ' HH H 0.1 0 7 10 ...
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